169 citations · 1.1k across the 36 of their papers we have counts for
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Spectral Density of Complex Networks with Two Species of Nodes
Taro Nagao
The adjacency and Laplacian matrices of complex networks with two species of nodes are studied and the spectral density is evaluated by using the replica method in statistical phys…
Spectral Density of Complex Networks with a Finite Mean Degree
Taro Nagao, G. J. Rodgers
In order to clarify the statistical features of complex networks, the spectral density of adjacency matrices has often been investigated. Adopting a static model introduced by Goh,…
Eigenvalue statistics of the real Ginibre ensemble
Peter J. Forrester, Taro Nagao
The real Ginibre ensemble consists of random matrices formed from i.i.d. standard Gaussian entries. By using the method of skew orthogonal polynomials, the general …
Spectral Density of Sparse Sample Covariance Matrices
Taro Nagao, Toshiyuki Tanaka
Applying the replica method of statistical mechanics, we evaluate the eigenvalue density of the large random matrix (sample covariance matrix) of the form , where…
Asymmetric Simple Exclusion Process and Modified Random Matrix Ensembles
Taro Nagao, Tomohiro Sasamoto
We study the fluctuation properties of the asymmetric simple exclusion process (ASEP) on an infinite one-dimensional lattice. When particles are initially situated in the negat…
Vicious walk with a wall, noncolliding meanders, and chiral and Bogoliubov-deGennes random matrices
Makoto Katori, Hideki Tanemura, Taro Nagao +1
Spatially and temporally inhomogeneous evolution of one-dimensional vicious walkers with wall restriction is studied. We show that its continuum version is equivalent with a noncol…
Dynamical Correlations for Vicious Random Walk with a Wall
Taro Nagao
A one-dimensional system of nonintersecting Brownian particles is constructed as the diffusion scaling limit of Fisher's vicious random walk model. Brownian particles start fro…
Dynamical Correlations for Circular Ensembles of Random Matrices
Taro Nagao, Peter J. Forrester
Circular Brownian motion models of random matrices were introduced by Dyson and describe the parametric eigenparameter correlations of unitary random matrices. For symmetric unitar…
Dynamical Correlations among Vicious Random Walkers
Taro Nagao, Makoto Katori, Hideki Tanemura
Nonintersecting motion of Brownian particles in one dimension is studied. The system is constructed as the diffusion scaling limit of Fisher's vicious random walk. N particles star…
Correlations for the Dyson Brownian motion model with Poisson initial conditions
P. J. Forrester, T. Nagao
The circular Dyson Brownian motion model refers to the stochastic dynamics of the log-gas on a circle. It also specifies the eigenvalues of certain parameter-dependent ensembles of…